Simplify: \( \frac{\frac{5x}{16}}{\frac{x}{4}+\frac{x}{20}} \)

Answer is in the attachment below.

\( \frac{\frac{5x}{16}}{\frac{x}{4}+\frac{x}{20}}=\frac{5x}{16}:\left(\frac{5x}{5\times4}+\frac{x}{20}\right)=\frac{5x}{16}:\left(\frac{5x}{20}+\frac{x}{20}\right)=\frac{5x}{16}:\frac{6x}{20}=\frac{5x}{16}:\frac{3x}{10}\\\\=\frac{5x}{16}\times\frac{10}{3x}=\frac{5}{8}\times\frac{5}{3}=\frac{25}{24}=1\frac{1}{24} \)

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